How To Find The Distance Around A Circle

Finding the circumference of a circle is quick and like shooting fish in a barrel.

Jenn (B.S., M.Ed.) of Calcworkshop® teaching circumference of a circle

Jenn, Founder Calcworkshop^®, 15+ Years Experience (Licensed & Certified Teacher)

Follow these easy to follow examples, and you'll exist all ready.

Let's jump in!

The circumference is the distance effectually a circle.

In other words, information technology'due south the perimeter of the circle. And nosotros find the circumference by using the formula C = 2πr.

circumference of a circle formula

Circumference of a Circle Formula

But what do we do if we only want to discover a fraction or a part of the altitude around the circle?

Nosotros need the Arc Length Formula!

This means that the length on any arc can be institute from its caste measure if the radius of the circle is known.

arc length of a circle formula

Arc Length of a Circumvolve Formula

And as Math Open up Reference states, the formula takes the circumference of the unabridged circle (2πr). It reduces it by the ratio of the degree measure of the arc angle (due north) to the degree measure out of the entire circle (360).

In the video below, you'll learn how to:

Find the circumference.
Determine the arc length.
Calculate angle measures using both the circumference formula and the arc length theorem.

Video – Lesson & Examples

45 min

Introduction
00:00:15 – Understanding circumference and the arc length theorem
00:06:06 – Find the circumference (Examples #one-4)
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00:fifteen:00 – Find the arc length, central angle, or radius (Examples #five-8)
00:25:07 – Find the indicated measures (Examples #9-11)
00:34:37 – Using the arc length theorem observe the values of each variable (Examples #12-13)
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